(a) Find the first and second partial derivatives of f by hand. Verify your answers
are correct using SageMath.
(b) Find the tangent plane to f at (2,3). Use this plane to approximate the value
of f(2.1, 2.95). How accurate is this approximation?/n(c) Find and classify the critical points of f.
(d) Find the local and global extrema of f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3.
(e) Plot f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3. Relate your results from the
previous part to the plot.
Fig: 1
Fig: 2